A method for identification of multiple transverse cracks and other localized defects in a rod by means of two spectra of longitudinal vibrations that correspond to free–free and fixed–free end conditions is presented. A numerical algorithm is developed that implements the method. The algorithm was tested on experimental data obtained on a cylindrical sample of aluminum alloy D16 with the created localized damages. The experiments were carried out on a rod with free ends. The created damages were ring grooves symmetrically located relative to the middle of the rod. With the help of such experiments, natural frequencies were obtained that correspond to two types of boundary conditions for a half-length rod. The experimental data were processed using the developed algorithm. The results showed that the model on which the developed algorithm is based describes well the longitudinal vibrations of the rod with localized damages in a fairly wide frequency range, and the algorithm enables to reconstruct multiple damages accurately enough.

提出了一种通过两个纵向振动频谱识别杆中多个横向裂纹和其他局部缺陷的方法，这两个频谱分别对应于自由-自由和固定-自由的端部条件。开发了实现该方法的数值算法。该算法在具有圆柱形缺陷的铝合金D16铝合金样品上获得的实验数据上进行了测试。实验在具有自由端的棒上进行。造成的损坏是相对于杆中部对称放置的环形槽。借助于这样的实验，获得了与半长杆的两种边界条件相对应的固有频率。实验数据用改进的算法处理。